Uniqueness of entropy solutions for specific double-phase systems under Dirichlet-type boundary conditions
Applicationes Mathematicae
MSC: Primary 35J60; Secondary 35D30, 35A02, 46E30, 35R11
DOI: 10.4064/am2550-2-2025
Published online: 7 July 2025
Abstract
We demonstrate the uniqueness of entropy solutions for a class of quasilinear elliptic equations governed by the double-phase operator, with Dirichlet-type boundary conditions and $L^{1}$-data on the right-hand side. We use the framework of Musielak–Orlicz–Sobolev spaces.
